On the relativistic classical motion of a radiating spinning particle in a magnetic field

For a free Dirac electron, the Heisenberg equations define an internal dynamical system in the rest frame, isomorphic to a finite three-dimensional oscillator with a compact SO(5) phase space, such that the spin of the electron is the orbital angular momentum of the internal dynamics (Barut and Bracken 1980, 1981a). In the present work, the change in this internal dynamics due to an external magnetic field is studied. In order that the internal motion can be distinguished from the centre of mass motion, the solutions of the corresponding Hamilton and Heisenberg equations for the relativistic classical motion and the relativistic quantum mechanical spinless motion are also presented. The solutions for the electron exhibit the effect of the spin terms both in the internal motion and external motion, and we are able to identify the properties of the Zitterbewegung in the external field.

Download Full-text

MAGNETIZED PARTICLE MOTION AROUND BLACK HOLE IN BRANEWORLD

Modern Physics Letters A ◽

10.1142/s0217732311034931 ◽

2011 ◽

Vol 26 (06) ◽

pp. 399-408 ◽

Cited By ~ 16

Author(s):

O. G. RAHIMOV

Keyword(s):

Magnetic Field ◽

Black Hole ◽

Effective Potential ◽

Particle Motion ◽

Uniform Magnetic Field ◽

Radial Motion ◽

Circular Orbits ◽

Spinning Particle ◽

Jacobi Formalism

We investigate the motion of a magnetized particle orbiting around a black hole in braneworld immersed in asymptotically uniform magnetic field. The influence of brane parameter on effective potential of the radial motion of magnetized spinning particle around the braneworld black hole using Hamilton–Jacobi formalism is studied. It is found that circular orbits for photons and slowly moving particles may become stable near r = 3M. It was argued that the radii of the innermost stable circular orbits are sensitive on the change of brane parameter. Similar discussion without Weil parameter has been considered by de Felice et al. in Refs. 1 and 2.

Download Full-text

Classical motion of a charged particle in the magnetic field of a rectilinear current

Zeitschrift für Physik D ◽

10.1007/bf01437428 ◽

1995 ◽

Vol 33 (2) ◽

pp. 101-107 ◽

Cited By ~ 6

Author(s):

M. M�ller ◽

K. Dietrich

Keyword(s):

Magnetic Field ◽

Charged Particle ◽

Classical Motion ◽

The Magnetic Field

Download Full-text

THE RELATIVISTIC LANDAU PROBLEM FOR FERMIONS

Modern Physics Letters A ◽

10.1142/s0217732392002196 ◽

1992 ◽

Vol 07 (29) ◽

pp. 2731-2739

Author(s):

J. GAMBOA

Keyword(s):

Magnetic Field ◽

Conservation Laws ◽

Path Integral ◽

Constant Magnetic Field ◽

Exact Expression ◽

Integral Formalism ◽

Planar Case ◽

Spinning Particle ◽

Relativistic Models ◽

Popov Method

Using the Faddeev-Popov method an exact expression for the propagator of a relativistic spinning particle in a constant magnetic field is found. The conservation laws and the generators of the magnetic group are obtained in the path integral formalism. Both the relativistic and non-relativistic models are discussed in the planar case.

Download Full-text

Coherent State Quantization and Moment Problem

Acta Polytechnica ◽

10.14311/1185 ◽

2010 ◽

Vol 50 (3) ◽

Author(s):

J. P. Gazeau ◽

M. C. Baldiotti ◽

D. M. Gitman

Keyword(s):

Magnetic Field ◽

Charged Particle ◽

Energy Spectrum ◽

Phase Space ◽

Coherent State ◽

Moment Problem ◽

Coherent States ◽

Uniform Magnetic Field ◽

Classical Motion ◽

Negative Numbers

Berezin-Klauder-Toeplitz (“anti-Wick”) or “coherent state” quantization of the complex plane, viewed as the phase space of a particle moving on the line, is derived from the resolution of the unity provided by the standard (or gaussian) coherent states. The construction of these states and their attractive properties are essentially based on the energy spectrum of the harmonic oscillator, that is on natural numbers. We follow in this work the same path by considering sequences of non-negative numbers and their associated “non-linear” coherent states. We illustrate our approach with the 2-d motion of a charged particle in a uniform magnetic field. By solving the involved Stieltjes moment problem we construct a family of coherent states for this model. We then proceed with the corresponding coherent state quantization and we show that this procedure takes into account the circle topology of the classical motion.

Download Full-text